NCERT Solutions
Class 11 Maths
Relations and Functions

Ex.2.2 Q.1
Let A = {1, 2, 3...,14}. Define a relation R from A to A by R = {(x, y): 3x – y = 0, where x, y ∈ A}.
Write down its domain, co-domain and range.
The relation R from A to A is given as R = {(x, y): 3x – y = 0, where x, y ∈ A}
i.e., R = {(x, y): 3x = y, where x, y ∈ A}
So, R = {(1, 3), (2, 6), (3, 9), (4, 12)}
The domain of R is the set of all first elements of the ordered pairs in the relation.
So, Domain of R = {1, 2, 3, 4}
The whole set A is the co-domain of the relation R.
So, Co-domain of R = A = {1, 2, 3... 14}
The range of R is the set of all second elements of the ordered pairs in the relation.
Hence, Range of R = {3, 6, 9, 12}